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20414125424 = 24711167313317
BaseRepresentation
bin10011000000110001…
…101101010101110000
31221200200210000112102
4103000301231111300
5313302004003144
613213401315532
71321611126440
oct230061552560
957620700472
1020414125424
118726272640
123b58795ba8
131c04423774
14db92c6120
157e72beb4e
hex4c0c6d570

20414125424 has 160 divisors (see below), whose sum is σ = 49922804736. Its totient is φ = 7855810560.

The previous prime is 20414125327. The next prime is 20414125439. The reversal of 20414125424 is 42452141402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64397714 + ... + 64398030.

Almost surely, 220414125424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961402368).

20414125424 is an abundant number, since it is smaller than the sum of its proper divisors (29508679312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20414125424 is a wasteful number, since it uses less digits than its factorization.

20414125424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 20414125424 its reverse (42452141402), we get a palindrome (62866266826).

The spelling of 20414125424 in words is "twenty billion, four hundred fourteen million, one hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 167 176 308 313 317 334 616 626 634 668 1169 1232 1252 1268 1336 1837 2191 2219 2338 2504 2536 2672 3443 3487 3674 4382 4438 4676 5008 5072 6886 6974 7348 8764 8876 9352 12859 13772 13948 14696 17528 17752 18704 24101 24409 25718 27544 27896 29392 35056 35504 48202 48818 51436 52271 52939 55088 55792 96404 97636 99221 102872 104542 105878 192808 195272 198442 205744 209084 211756 365897 370573 385616 390544 396884 418168 423512 574981 582329 694547 731794 741146 793768 836336 847024 1091431 1149962 1164658 1389094 1463588 1482292 1587536 2182862 2299924 2329316 2778188 2927176 2964584 4024867 4076303 4365724 4599848 4658632 5556376 5854352 5929168 7640017 8049734 8152606 8731448 9199696 9317264 11112752 15280034 16099468 16305212 16569907 17462896 30560068 32198936 32610424 33139814 61120136 64397872 65220848 66279628 115989349 122240272 132559256 182268977 231978698 265118512 364537954 463957396 729075908 927914792 1275882839 1458151816 1855829584 2551765678 2916303632 5103531356 10207062712 20414125424